Then there is the random factor that we all do not know how high it is. For boobs sake, if Kaed used my made up combat system but used a d100 as random extra damage inflicted, then there is always the chance that the measle little gobwin kills your stack of stabbers with the warlord. We don't really know
Maybe a mathamancer can predict outcomes of battles in which you do not know the exact specifics. I mean more like: Chances that my stack of sand dwagons will win the combat against a stack of gobwins. Dwagons have a stack of 6, gobwins have a stack of 8. Mathamancer does the casting and comes out: You will Likely win. Result for me: I will likely win the battle and probably not have a lot of casualties.
In this example I do not actually know the stats of the gobwins but the mathamancer can calculate with it anyway. This will make them more usefull. In this example one can also ask more specific questions like:
What are the chances that my stack of 6 Sand dwagons will win against the stack of 8 gobwins when there is a veiled level 8 warlord in there. Mathamancer casts and tells me: Very unlikely. Thus, I will probably lose the battle, losing all my dwagons and not inflicting a darn casualty on the gobwins.
That strikes me as usefull information. I would like to have a mathamancer on my side




